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Market The (De)merits of using Integral Transforms in Predicting Structural Break Points

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Listed:
  • Katlego Kola

    (WITS University)

  • Tumellano Sebehela

    (WITS University)

Abstract

The structural break points of returns and volatility are generally illustrated by using uni-and-multivariate time series models. Despite the elegance of uni-and-multivariate models, the interchangeability of different structural break points is not well accounted for in those models. This study uses integral transforms (Fourier and Laplace) to illustrate the interchangeability of structural break points of indices. Furthermore, structural break points are validated with commonly used unit root structural break tests [(i) augmented Dickey Fuller (ADF), (ii) ADF-generalized least squares (GLS), Phillips Perron (PP) 1988 and Zivot-Andrews (ZA) 1992 tests]. The results illustrate persistent interchangeability and interconnectedness patterns of structural break points throughout the time series. Moreover, the structural break points tests confirm the findings of the integral transforms.

Suggested Citation

  • Katlego Kola & Tumellano Sebehela, 2021. "Market The (De)merits of using Integral Transforms in Predicting Structural Break Points," International Real Estate Review, Global Social Science Institute, vol. 24(3), pages 405-467.
  • Handle: RePEc:ire:issued:v:24:n:03:2021:p:405-467
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    References listed on IDEAS

    as
    1. Gianluca Marcato & Charles Ward, 2007. "Back from Beyond the Bid–Ask Spread: Estimating Liquidity in International Markets," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 35(4), pages 599-622, December.
    2. repec:ire:issued:v:22:n:01:2019:p:85-110 is not listed on IDEAS
    3. Bruce E. Hansen, 2001. "The New Econometrics of Structural Change: Dating Breaks in U.S. Labour Productivity," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 117-128, Fall.
    4. Ivo Welch & Amit Goyal, 2008. "A Comprehensive Look at The Empirical Performance of Equity Premium Prediction," The Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1455-1508, July.
    5. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    6. Ludwig Straub & Iván Werning, 2020. "Positive Long-Run Capital Taxation: Chamley-Judd Revisited," American Economic Review, American Economic Association, vol. 110(1), pages 86-119, January.
    7. Marcato, Gianluca & Sebehela, Tumellano & Campani, Carlos Heitor, 2018. "Volatility smiles when information is lagged in prices," The North American Journal of Economics and Finance, Elsevier, vol. 46(C), pages 151-165.
    8. Maghyereh, Aktham I. & Awartani, Basel, 2016. "Dynamic transmissions between Sukuk and bond markets," Research in International Business and Finance, Elsevier, vol. 38(C), pages 246-261.
    9. Zhou, Jian, 2016. "A high-frequency analysis of the interactions between REIT return and volatility," Economic Modelling, Elsevier, vol. 56(C), pages 102-108.
    10. Shalini, Velappan & Prasanna, Krishna, 2016. "Impact of the financial crisis on Indian commodity markets: Structural breaks and volatility dynamics," Energy Economics, Elsevier, vol. 53(C), pages 40-57.
    11. Zhongjun Qu & Pierre Perron, 2007. "Estimating and Testing Structural Changes in Multivariate Regressions," Econometrica, Econometric Society, vol. 75(2), pages 459-502, March.
    12. Chris Brooks & Sotiris Tsolacos, 2001. "Linkages between property asset returns and interest rates: evidence for the UK," Applied Economics, Taylor & Francis Journals, vol. 33(6), pages 711-719.
    13. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    14. Jushan Bai & Pierre Perron, 2003. "Critical values for multiple structural change tests," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 72-78, June.
    15. Yin, Anwen, 2019. "Out-of-sample equity premium prediction in the presence of structural breaks," International Review of Financial Analysis, Elsevier, vol. 65(C).
    16. Woon Weng WONG & Wejendra Reddy, 2018. "Evaluation of Australian REIT Performance and the Impact of Interest Rates and Leverage," International Real Estate Review, Global Social Science Institute, vol. 21(1), pages 41-70.
    17. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    18. Holmes, Mark J., 2011. "Threshold cointegration and the short-run dynamics of twin deficit behaviour," Research in Economics, Elsevier, vol. 65(3), pages 271-277, September.
    19. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-856, July.
    20. Mehmet Akbulut & Su Han Chan & Mariya Letdin, 2015. "Calendar Anomalies: Do REITs Behave Like Stocks?," International Real Estate Review, Global Social Science Institute, vol. 18(2), pages 177-215.
    21. Davis, Richard A. & Lee, Thomas C.M. & Rodriguez-Yam, Gabriel A., 2006. "Structural Break Estimation for Nonstationary Time Series Models," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 223-239, March.
    22. Jin Feng & Wenxia Zhou & Shuoyu Li & Mengyi Li, 2019. "Obstacles open the door — Negative shocks can motivate individuals to focus on opportunities," Frontiers of Business Research in China, Springer, vol. 13(1), pages 1-17, December.
    23. Dennis R. Capozza & Ryan D. Israelsen, 2007. "Predictability in Equilibrium: The Price Dynamics of Real Estate Investment Trusts," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 35(4), pages 541-567, December.
    24. Deepak Nayyar, 2016. "BRICS, developing countries and global governance," Third World Quarterly, Taylor & Francis Journals, vol. 37(4), pages 575-591, April.
    25. Pesaran, M. Hashem & Pick, Andreas & Pranovich, Mikhail, 2013. "Optimal forecasts in the presence of structural breaks," Journal of Econometrics, Elsevier, vol. 177(2), pages 134-152.
    26. Kim Liow & Zhiwei Chen & Jingran Liu, 2011. "Multiple Regimes and Volatility Transmission in Securitized Real Estate Markets," The Journal of Real Estate Finance and Economics, Springer, vol. 42(3), pages 295-328, April.
    27. Sulaiman T. Al-Abduljader, 2019. "Interdependence of Securitized Real Estate in Frontier Markets," International Real Estate Review, Global Social Science Institute, vol. 22(1), pages 83-108.
    28. Walter Enders & Matthew T. Holt, 2012. "Sharp Breaks or Smooth Shifts? an Investigation of the Evolution of Primary Commodity Prices," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 94(3), pages 659-673.
    29. Okunev, John & Wilson, Patrick & Zurbruegg, Ralf, 2000. "The Causal Relationship between Real Estate and Stock Markets," The Journal of Real Estate Finance and Economics, Springer, vol. 21(3), pages 251-261, November.
    30. Ngai Hang Chan & Chun Yip Yau & Rong-Mao Zhang, 2014. "Group LASSO for Structural Break Time Series," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(506), pages 590-599, June.
    31. Mensi, Walid & Boubaker, Ferihane Zaraa & Al-Yahyaee, Khamis Hamed & Kang, Sang Hoon, 2018. "Dynamic volatility spillovers and connectedness between global, regional, and GIPSI stock markets," Finance Research Letters, Elsevier, vol. 25(C), pages 230-238.
    32. Tanweer Akram & Anupam Das, 2019. "The Long-Run Determinants of Indian Government Bond Yields," Asian Development Review, MIT Press, vol. 36(1), pages 168-205, March.
    33. Güloğlu, Bülent & Kaya, Pınar & Aydemir, Resul, 2016. "Volatility transmission among Latin American stock markets under structural breaks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 330-340.
    34. Skintzi, Vasiliki D. & Refenes, Apostolos N., 2006. "Volatility spillovers and dynamic correlation in European bond markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 16(1), pages 23-40, February.
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    More about this item

    Keywords

    Integral transforms; structural breaks;

    JEL classification:

    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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